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The line (x)/(a)+(y)/(b)=2 touches the c...

The line `(x)/(a)+(y)/(b)=2` touches the curve `((x)/(a))^(n)+((y)/(b))^(n)=2` at the point (a, b) for

A

n = 1, 2

B

n = 3, 4, -5

C

n = 1, 2, 3

D

any value of n

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  8. The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

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  9. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2) -2t -5 at...

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  15. Determine p such that the length of the such-tangent and sub-normal is...

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  16. The angle at which the curve y=ke^(kx) intersects Y-axis is

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  17. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

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  18. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

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  19. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

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